Question

Construct a parallalogram one of whose side is 5cm and whose diagonal are 5.8 cm and 6.4 cm

Answer 1

1. Draw a line 5 cm long.

2. Open the compass to 1/2 the length
of the shorter diagonal (1/2 of 5.8cm is 2.4cm)

3. Placing the sharp point of the compass on the right end of the
line, and swing an arc .
4. Open the compass to 1/2 the length
of the longer diagonal (1/2 of 6.4cm is 3.2cm)

5. Placing the sharp point of the compass on the left end of the
line, and swing an arc.
6. Draw a line 5.8cm long from the right end of the line through
the point where the arcs cross.

6. Draw a line 6.4cm long from the left end of the line through
the point where the arcs cross.